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Derived Demand for Healthcare

The concept that demand for healthcare is not valued for its own sake but derives from an underlying demand for health itself.

Last reviewedDarrin Baines IP Ltd

Concept Architecture

Concept


Theoretically, Derived Demand for Healthcare is the demand for healthcare services that arises because individuals value the health improvements those services are expected to produce rather than the services themselves. It is grounded in consumer theory and the health-capital model, in which healthcare is treated as an input into the production of health. The concept exists because demand for consultations, medicines, diagnostics and hospital care depends on their expected contribution to health, survival, functioning or relief from symptoms.

Mathematically, derived demand for healthcare is represented through a health-production function combined with utility maximisation. Individuals choose healthcare inputs subject to income, prices, insurance coverage and time constraints. Healthcare demand is derived from the marginal contribution of medical care to health and the marginal utility of health relative to other consumption.

In practice, derived demand is estimated using utilisation, expenditure, price, income, health-status and insurance data. Econometric demand models assess how service use changes with out-of-pocket prices, expected treatment benefit, illness severity and coverage. The results inform demand forecasting, cost-sharing policy, benefit design and evaluation of healthcare access.


Purpose


Used to explain and estimate demand for healthcare as an input into the production of health, supporting analysis of utilisation, insurance design and responses to treatment prices.


Mathematical Formulae

Primary Formula

H = H(M, X, Z)

where:

  • H = health
  • M = medical care
  • X = other health-producing inputs
  • Z = individual and environmental characteristics

Healthcare demand is derived from:

max U(H, C)

subject to:

P?M + P?C � Y

Supporting Formulae

Marginal condition:

MU? ? MP? = ?P?

where:

  • MU? = marginal utility of health
  • MP? = marginal product of medical care
  • ? = marginal utility of income
  • P? = price of medical care

Healthcare demand function:

M* = M(P?, Y, Health Need, Insurance, Z)

Price elasticity of healthcare demand:

�? = (%?M) / (%?P?)

Related Mathematical Methods

  • Health Production Function
  • Grossman Health-Capital Model
  • Consumer Choice
  • Healthcare Demand Estimation
  • Price Elasticity
  • Utility Maximisation

Example


A patient values physiotherapy because it is expected to improve mobility rather than because the sessions themselves provide direct utility. The out-of-pocket price per session falls from �40 to �30, and the patient increases utilisation from five to six sessions.

Percentage change in utilisation:

%?M = (6 ? 5) / 5 = 20%

Percentage change in price:

%?P? = (�30 ? �40) / �40 = ?25%

Price elasticity:

�? = 20% / ?25% = ?0.80

The negative elasticity indicates that demand for physiotherapy increases as its price falls.


Excel Implementation

FunctionExample FormulaHealth Economics Application
LINEST=LINEST(UtilisationRange,PriceIncomeNeedRange,TRUE,TRUE)Estimates a healthcare demand function.
LN=LN(B2)Supports log-log estimation of healthcare demand elasticities.
SLOPE=SLOPE(LN(UtilisationRange),LN(PriceRange))Estimates price elasticity in a simple log-log model.
SUMPRODUCT=SUMPRODUCT(QuantityRange,PriceRange)Calculates healthcare expenditure under alternative demand levels.
FORECAST.LINEAR=FORECAST.LINEAR(NewPrice,UtilisationRange,PriceRange)Predicts healthcare utilisation at an alternative price.

VBA (Optional)


VBA can automate healthcare demand projections under alternative prices, insurance arrangements and population health-need assumptions.


Sources

  • Grossman M. On the concept of health capital and the demand for health. Journal of Political Economy.
  • Grossman M. The Demand for Health: A Theoretical and Empirical Investigation. Columbia University Press.
  • Folland S, Goodman AC, Stano M. The Economics of Health and Health Care. Routledge.
  • Zweifel P, Breyer F, Kifmann M. Health Economics. Springer.
  • Newhouse JP. Free for All? Lessons from the RAND Health Insurance Experiment. Harvard University Press.

Library

Publications

1
  • Book

    The Economics of Health and Health Care — Folland, Goodman, Stano & Danagoulian, 9th Edition ed., 2024 (Routledge)

    The market-leading general health economics textbook, giving comprehensive coverage of health economics through core economic themes and balancing theory, empirical evidence and public policy. The ninth edition adds chapters on health disparities and pandemic economics.

Frequently Asked Questions (6)

  • What is the derived demand for health care?

    The concept that demand for healthcare is not valued for its own sake but derives from an underlying demand for health itself.

    Source: Grossman 1972

  • How does derived demand affect the price sensitivity of health care?

    Because care is wanted for the health it produces rather than for itself, how much people respond to its price depends partly on how they value the health at stake. When the underlying need is urgent, as in serious illness, demand for the care that addresses it tends to be insensitive to price, since the health it yields is valued highly. For less pressing conditions, where the health gain is smaller, demand responds more to cost. Grossman (1972) links the demand for care to the value of the health sought.

    Source: Grossman 1972

  • Why is the demand for health care called derived?

    The demand for health care is called derived because it follows from, or is derived from, the demand for something else, namely health. Health care has no value to the patient apart from its contribution to health; it is often unpleasant and undergone only for the health it yields. The demand for care therefore depends on how much health it produces and how much health is valued, making it a demand derived from the underlying want for health rather than a direct want for care.

    Source: Grossman 1972

  • How does derived demand explain health care use?

    Derived demand explains health care use as flowing from the desire for health: people use care when and to the extent it helps maintain or restore their health, weighing its contribution against its cost. This links use to the factors that shape the demand for health, such as age, income, education, and the effectiveness and price of care. It also implies that care yielding little health gain will be little demanded once that is understood, since it is wanted only for its effect on health.

    Source: Grossman 1972

  • What are the implications of derived demand for health care?

    The implication of derived demand is that health care should be judged by the health it produces, not consumed for its own sake, so its value depends on effectiveness. Care that yields little health gain has little derived value, which supports evaluating interventions by their effect on health. It also means demand for care responds to beliefs about effectiveness and to the price and productivity of care, and that raising health may sometimes be achieved by inputs other than care.

    Source: Grossman 1972

  • How does derived demand differ from demand for ordinary goods?

    Derived demand differs from the demand for ordinary goods in that ordinary goods are wanted for the direct satisfaction they give, whereas health care is wanted only for the health it helps produce. A meal or a film is valued in itself; medical care is valued instrumentally, as a means to health, and is often undergone reluctantly. This instrumental character means the demand for care follows the demand for health, so it behaves differently from the demand for goods consumed for their own sake.

    Source: Grossman 1972

Trust Record

Verified by Dr Darrin Baines

British health economist

Professional identity: darrinbaines.org

Verification date: 10 Sep 2025

Content version: 1.0.0

Canonical Identity

Term code
HE-EE-ME-018

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